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НАХОЖДЕНИЕ ПАРАМЕТРОВ ЭКСПОНЕНЦИАЛЬНЫХ ОЦЕНОК РЕШЕНИЙ ЗАДАЧИ КОШИ ДЛЯ НЕКОТОРЫХ СИСТЕМ ЛИНЕЙНЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ЗАПАЗДЫВАНИЕМ Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2021, Volume: 18, Number: 2, Pages: 1307-1318 Pages count : 12 DOI: 10.33048/SEMI.2021.18.100
Tags Component-wise exponentially decreasing estimates; Delay differential equation; Linear and nonlinear mathematical models of living systems; Nonnegative matrix; Nonsingular m-matrix; Systems of wazewski differential equations
Authors Pertsev N.V. 1 , Loginov K.K. 1
Affiliations
1 Sobolev Institute of Mathematics SB RAS, Omsk Division 13, Pevtsova str., Omsk, 644043, Russian Federation

Funding (1)

1 Russian Foundation for Basic Research 18-29-10086

Abstract: We consider the problem of constructing component-wise exponentially decreasing estimates of the solution to the Cauchy problem for systems of linear delay differential equations. Systems of differential equations contain matrices of a special type and belong to the systems of Wazewski type equations. The properties of nonsingular M-matrices, methods and algorithms for finding the roots of nonlinear equations are used. Examples of the study of specific systems of differential equations are presented. © 2021 Перцев Н.В., Логинов К.К.
Cite: Pertsev N.V. , Loginov K.K.
НАХОЖДЕНИЕ ПАРАМЕТРОВ ЭКСПОНЕНЦИАЛЬНЫХ ОЦЕНОК РЕШЕНИЙ ЗАДАЧИ КОШИ ДЛЯ НЕКОТОРЫХ СИСТЕМ ЛИНЕЙНЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ЗАПАЗДЫВАНИЕМ
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1307-1318. DOI: 10.33048/SEMI.2021.18.100 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000734395000020
Scopus: 2-s2.0-85124151196
OpenAlex: W4205660045
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